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2x + y = 18x - y = 6. There are a few methods you can use to tackle simultaneous equations. The one I find the easiest is making one of the unknowns a subject and plugging it back into the other equ...
Completing the square is a method of solving quadratic equations that can't be factorised. The end goal is to express the quadratic in the form:(x + a)2 = -bWhich allows us to root both sides a...
The first step would be to rearrange the first equation to make y the subject:3x+y=-4 ----> y=-4-3xNext we want to substitute this value of y into the second equation3x-4y=6 ----->...
f(12)=((212)+1)^0.5=25^0.5=5 (simply substitute 12 into the original function)To find f'(12) we need to first find the derivative of the function and then we can substitute 12 in like we did before.f'...
Because there are two functions that are enclosed in brackets, you should realise that you need to differentiate by parts. You can expand out and differentiate through, but because of the x^1/2 it can get...
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